Venting of Roof/Attic

I am new and have read posts on venting of attic, but wanted to get some feedback on my roof. I was told yesterday by a roofer that I do not have enough ridge to properly vent the attic above the main house (left of garage) & would need to use an attic fan. However, the area over the garage can use a ridge vent. The attic over the garage and main house are connected, but the roofer said they would be vented differently. It would seem that there may be a conflict. I have attached pictures so you can see house & offer your advice on how to properly vent attic. Thanks, Patrick

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It is not working. We are looking at repairing or replacing our roof, so that is why this has come up. It also has a ridge vent in the same area where the attic fan is located. Please let me know how to properly vent this attic. Tks